{"_buckets": {"deposit": "edc66d5f-91c5-479f-89c3-d9e327286592"}, "_deposit": {"created_by": 1, "id": "1098", "owners": [1], "pid": {"revision_id": 0, "type": "depid", "value": "1098"}, "status": "published"}, "_oai": {"id": "oai:chuo-u.repo.nii.ac.jp:00001098", "sets": ["88"]}, "author_link": ["23356", "23339", "23325", "23357"], "item_2_biblio_info_8": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2016-02-18", "bibliographicIssueDateType": "Issued"}, "bibliographicVolumeNumber": "117", "bibliographic_titles": [{"bibliographic_title": "数学科プレプリントシリーズ"}, {"bibliographic_title": "PREPRINT SERIES", "bibliographic_titleLang": "en"}]}]}, "item_2_description_20": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_2_description_6": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "This paper is devoted to giving definitions of Besov spaces on an arbitrary open set of R^n via the spectral theorem for the Schrödinger operator with the Dirichlet boundary condition. The crucial point is to introduce some test function spaces on Ω. The fundamental properties of Besov spaces are also shown, such as embedding relations and duality, etc. Furthermore, the isomorphism relations are established among the Besov spaces in which regularity of functions is measured by the Dirichlet Laplacian and the Schrödinger operators.", "subitem_description_type": "Abstract"}]}, "item_2_full_name_5": {"attribute_name": "著者別名", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "23325", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "岩渕, 司"}]}, {"nameIdentifiers": [{"nameIdentifier": "23339", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "松山, 登喜夫"}]}, {"nameIdentifiers": [{"nameIdentifier": "23357", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "谷口, 晃一"}]}]}, "item_2_publisher_9": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "中央大学理工学部数学科"}]}, "item_2_rights_16": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。"}]}, "item_2_version_type_21": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_b1a7d7d4d402bcce", "subitem_version_type": "AO"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "IWABUCHI, Tsukasa", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "23325", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "MATSUYAMA, Tokio", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "23339", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "TANIGUCHI, Koichi", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "23356", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2019-04-22"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "preprint117.pdf", "filesize": [{"value": "1.2 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 1200000.0, "url": {"label": "本文を見る(PDFファイル)", "url": "https://chuo-u.repo.nii.ac.jp/record/1098/files/preprint117.pdf"}, "version_id": "7e904b54-fb6e-4b0d-abbb-c8ed142c0816"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Besov spaces", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Schrödinger  operators", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}, {"subitem_subject": "potential of Kato class", "subitem_subject_language": "en", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "other", "resourceuri": "http://purl.org/coar/resource_type/c_1843"}]}, "item_title": "Besov spaces on open sets", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Besov spaces on open sets", "subitem_title_language": "en"}]}, "item_type_id": "2", "owner": "1", "path": ["88"], "permalink_uri": "https://chuo-u.repo.nii.ac.jp/records/1098", "pubdate": {"attribute_name": "公開日", "attribute_value": "2016-03-01"}, "publish_date": "2016-03-01", "publish_status": "0", "recid": "1098", "relation": {}, "relation_version_is_last": true, "title": ["Besov spaces on open sets"], "weko_shared_id": -1}